Solution Found!
In each of Examples 8.10, 8.11, and 8.12 (Section 8.4),
Chapter 10, Problem 11DQ(choose chapter or problem)
In each of Examples 8.10, 8.11, and 8.12 (Section 8.4), verify that the relative velocity vector of the two bodies has the same magnitude before and after the collision. In each case, what happens to the ?direction? of the relative velocity vector?
Questions & Answers
QUESTION:
In each of Examples 8.10, 8.11, and 8.12 (Section 8.4), verify that the relative velocity vector of the two bodies has the same magnitude before and after the collision. In each case, what happens to the ?direction? of the relative velocity vector?
ANSWER:Solution 11DQ Introduction In all cases the velocity before and after collisions are calculated. So we will just calculate the relative velocities and see how the magnitude changes. We will also see how the direction changes before and after collision. Step 1 In example 8.10 the initial velocity of the block A and B are V Ai= 2 m/s and v bi 2 m/s Hence the relative velocity B with respect to A is V BA,i= V Ai+ V Bi = 2.00 m/s + ( 2.00 m/s) = 4.00 m/s And the final velocities are v Af= 1 m/s and v Bf = 3 m/s Hence the relative velocity of B with respect to A in after collision is v BA,f= V Af + V Bf = ( 1 m/s) + (3 m/s) = 4 m/s. Hence the magnitude remain same.